360628000 has 96 divisors (see below), whose sum is σ = 896903280. Its totient is φ = 142489600.

The previous prime is 360627997. The next prime is 360628013. The reversal of 360628000 is 826063.

It can be written as a sum of positive squares in 8 ways, for example, as 43930384 + 316697616 = 6628^2 + 17796^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355494 + ... + 356506.

Almost surely, 2^360628000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448451640).

360628000 is an abundant number, since it is smaller than the sum of its proper divisors (536275280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

360628000 is a wasteful number, since it uses less digits than its factorization.

360628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 360628000 is about 18990.2080030736. The cubic root of 360628000 is about 711.7920741166.

The spelling of 360628000 in words is "three hundred sixty million, six hundred twenty-eight thousand".